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Relevant bibliographies by topics / Neutrosophic Relation Equations (NRE)

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Academic literature on the topic 'Neutrosophic Relation Equations (NRE)'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Neutrosophic Relation Equations (NRE)"

1

.., M., and S. Sudha. "Bipolar Trapezoidal Neutrosophic Differential Equation and its Application." International Journal of Neutrosophic Science 18, no. 4 (2022): 16–43. http://dx.doi.org/10.54216/ijns.180402.

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Neutrosophic set plays a vital role in dealing with indeterminacy in real-world problems. Differential equations represent the relation between a function and its derivatives and its applications have importance in both pedagogical and real life. In this paper, neutrosophic differential equation is proposed and solved using bipolar trapezoidal neutrosophic number and applied the concept in predicting bacterial reproduction over separate bodies with graphical representation using MATLAB. Also, comparative analysis is done with the existing method to prove the effectiveness of the proposed metho

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Khalid, Dr. Huda E. "A New Attempt for Finding Minimum Solution in Fuzzy Neutrosophic Relational Geometric Programming (FNRGP) with (max, min) Composition." Neutrosophic Sets ans Systems 9, no. 9 (2015): 80–84. https://doi.org/10.5281/zenodo.31196.

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 This  article  sheds  lights  on  the possibility of finding the minimum solution set of neutrosophic relational  geometric programming with (max, min) composition. This work examines the privacy enjoyed by both  neutrosophic logic and geometric programming, and how it affects the minimum solutions.  Itis the first  attempt  to  solve  this  type  of  problems. Neutrosophic  relation  equations  are  important branches  of  neutrosophic  ma

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3

Kandasamy, Vasantha, and Vidhyalakshmi Sekar. "New Type of Fuzzy Relational Equations and Neutrosophic Relational Equations - To analyse Customers Preference to Street Shops." Neutrosophic Sets and Systems 3, 2014 (May 4, 2014). https://doi.org/10.5281/zenodo.571460.

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In this paper authors study the customer’s preference of street shops to other eateries using Fuzzy Relation Equations (FREs) and Neutrosophic Relation Equations (NREs). We have constructed a new type of FRE and NRE called the new average FRE and new average NRE. This study is based on interviews /discussions taken from 32 tuck shops in and around Tambaram.

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Vasantha, Kandasamy, Sekar.P, and Vidhyalakshmi. "New Type of Fuzzy Relational Equations and Neutrosophic Relational Equations – To analyse Customers Preference to Street Shops." July 1, 2015. https://doi.org/10.5281/zenodo.22608.

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In this paper authors study the customer’s preference of street shops to other eateries using Fuzzy Relation Equations (FREs) and Neutrosophic Relation Equations (NREs). We have constructed a new type of FRE and NRE called the new average FRE and new average NRE. This study is based on interviews discussions taken from 32 tuck shops in and around Tambaram. This paper is organized into five sections. In section one we just recall the working of FRE and NRE. We define the new notion of average FREs and average NREs and use this new model to stud

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Huda, E. Khalid. "An Original Notion to Find Maximal Solution in the Fuzzy Neutrosophic Relation Equations (FNRE) with Geometric Programming (GP)." July 1, 2015. https://doi.org/10.5281/zenodo.22427.

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In this paper, finding - a maxima solution is introduced a fuzzy neutrosophic relation equation. The notion of fuzzy relation equation was first investigated by Sanchez in 1976, while Florentin Smarandache put forward fuzzy neutrosophic relation equations in 2004 with innovative investigation. This paper is first  attempt to establish the structure of solution set on model. The NRE have a wide applications in various real world problems like flow rate in chemical plants, transportation problem, study of bounded labor problem, stu

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6

Khalid, Huda E. "An Original Notion to Find Maximal Solution in the Fuzzy Neutrosophic Relation Equations (FNRE) with Geometric Programming (GP)." Neutrosophic Sets and Systems 7, 2015 (December 20, 2015). https://doi.org/10.5281/zenodo.571243.

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In this paper, finding - a maximal solution is introduced to (𝑉, 𝛬) fuzzy neutrosophic relation equation. the notion of fuzzy relation equation was first investigated by Sanchez in 1976, while Florentin Smarandache put forward a fuzzy neutrosophic relation equations in 2004 with innovative investigation. This paper is first attempt to establish the structure of solution set on model. The NRE have a wide applications in various real world problems like flow rate in chemical plants, transportation problem, study of bounded labor problem, study of interrelations among HIV/AIDS affected patients a

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7

Khalid, Huda E. "The Novel Attempt for Finding Minimum Solution in Fuzzy Neutrosophic Relational Geometric Programming (FNRGP) with (max,min) Composition." Neutrosophic Sets and Systems 11 , 2016 (May 4, 2016). https://doi.org/10.5281/zenodo.571540.

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This article sheds light on the possibility of finding the minimum solution set of neutrosophic relational geometric programming with (max, min) composition. This work examines the privacy enjoyed by both neutrosophic logic and geometric programming, and how it affects the minimum solutions. It is the first attempt to solve this type of problems. Neutrosophic relation equations are important branches of neutrosophic mathematics.

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8

Huda, E. Khalid. "Neutrosophic Geometric Programming (NGP) with (Max, Product) Operator; an Innovative Model." March 22, 2020. https://doi.org/10.5281/zenodo.3723803.

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In this paper, a neutrosophic optimization model has been first constructed for the neutrosophic geometric programming subject to (max-product) neutrosophic relation constraints. For finding the maximum solution, two new operations (i.e. , ) between  and  have been defined, which have a key role in the structure of the maximum solution. Also, two new theorems and some propositions are introduced that discussed the cases of the incompatibility in the relational equations , with some properties of the operation . Numerical examples have been solved to illustrate new concepts.

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Book chapters on the topic "Neutrosophic Relation Equations (NRE)"

1

Khalid, Huda E. "Geometric Programming Dealing With Neutrosophic Relational Equations Under the (Max-Min) Operation." In Neutrosophic Sets in Decision Analysis and Operations Research. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-2555-5.ch004.

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The neutrosophic relation equations are important elements of neutrosophic mathematics, and it can be widely applied in power systems, neutrosophic comprehensive evaluation. The aim of this chapter is to find the minimal solutions for the neutrosophic relation geometric programming having (V, Λ) operator. In this chapter, a max-min method has been built for finding an optimal solution in the neutrosophic relation equations, and a new characteristic matrix has been defined which is an important step to test the consistency of the system Aοx=b and for finding all effective paths that lead to the

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